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Finding the Fourth Proportional to 2,153.62, 3,230.11 and 692.58

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Solution

The fourth proportional to 2,153.62, 3,230.11 and 692.58 is: 1,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.62 : 3,230.11 = 692.58 : x
  2. Step 2: Convert to fraction form
    2,153.62/3,230.11 = 692.58/x
  3. Step 3: Cross multiply
    2,153.62x = 3,230.11 × 692.58
  4. Step 4: Simplify right side
    2,153.62x = 2,237,122.56
  5. Step 5: Solve for x
    x = 2,237,122.56/2,153.62
  6. Step 6: Final answer
    x = 1,038.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.